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α-Bloch空间到BMOA空间的复合算子 被引量:1

Composition operators from α-Bloch spaces into BMOA spaces
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摘要 作者定义了单位球上的解析函数α-Bloch空间以及BMOA空间,然后刻画了α-Bloch空间上Fredhoml复合算子的特征,最后利用函数的径向导数定义的Carleson测度研究了α-Bloch空间和BMOA空间之间复合算子的有界性、紧性,并得到了复合算子有界性、紧性的充分条件. In this paper, the authors define α-Bloch spaces and BMOA spaces on the unit ball, then characters composition operators on α -Bloch spaces having Fredholm properties. In addition, the authors also give some sufficient conditions of composition operators acting from α -Bloch spaces into BMOA spaces to be bounded and compact by Carleson measure defined the radial derivative of symbols function.
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第4期864-868,共5页 Journal of Sichuan University(Natural Science Edition)
基金 四川省教育厅重点项目((20072A04)
关键词 Α-BLOCH空间 BMOA空间 复合算子 Fredhoml复合算子 CARLESON测度 α -Bloch space, BMOA space, composition operator, Carleson measure, Fredholm composition operator
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